Properties

Label 14.70-2.0.2-10-35.11
Genus \(14\)
Quotient genus \(0\)
Group \(C_5\times D_7\)
Signature \([ 0; 2, 10, 35 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_5\times D_7$
Group identifier: $[70,2]$
Signature: $[ 0; 2, 10, 35 ]$
Conjugacy classes for this refined passport: $2, 13, 20$

Jacobian variety group algebra decomposition:$A_{2}\times A_{6}^{2}$
Corresponding character(s): $3, 14$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.70-2.0.2-10-35.11.1

  (1,36) (2,42) (3,41) (4,40) (5,39) (6,38) (7,37) (8,43) (9,49) (10,48) (11,47) (12,46) (13,45) (14,44) (15,50) (16,56) (17,55) (18,54) (19,53) (20,52) (21,51) (22,57) (23,63) (24,62) (25,61) (26,60) (27,59) (28,58) (29,64) (30,70) (31,69) (32,68) (33,67) (34,66) (35,65)
  (1,68,22,54,8,40,29,61,15,47) (2,67,23,53,9,39,30,60,16,46) (3,66,24,52,10,38,31,59,17,45) (4,65,25,51,11,37,32,58,18,44) (5,64,26,50,12,36,33,57,19,43) (6,70,27,56,13,42,34,63,20,49) (7,69,28,55,14,41,35,62,21,48)
  (1,11,21,24,34,2,12,15,25,35,3,13,16,26,29,4,14,17,27,30,5,8,18,28,31,6,9,19,22,32,7,10,20,23,33) (36,46,56,59,69,37,47,50,60,70,38,48,51,61,64,39,49,52,62,65,40,43,53,63,66,41,44,54,57,67,42,45,55,58,68)